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Zbl 1236.76070
Shou, Dahua; Fan, Jintu; Ding, Feng
A difference-fractal model for the permeability of fibrous porous media. (English)
[J] Phys. Lett., A 374, No. 10, 1201-1204 (2010). ISSN 0375-9601

Summary: In this Letter, a difference-fractal model for the permeability of viscous flow through fibrous porous media is proposed. Since fractal objects have well-defined geometric properties, and are discrete and discontinuous, we apply the difference approach to developing the fractal model. The model of non-dimensional permeability is expressed as a function of porosity and fractal dimension. To verify the validity of the proposed model, the predicted permeability values are compared with those of experimental measurements. A good agreement between the prediction of the fractal model and the existing experimental data from the literature is found.

MSC 2000:: *76S05 Flows in porous media
76D99 Incompressible viscous fluids
28A80 Fractals
39A14

Keywords: permeability; fibrous porous media; difference-fractal; porosity; fiber radius

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